Online GCD Calculator is useful to find the GCD of 500, 428, 997, 838 quickly. Get the easiest ways to solve the greatest common divisor of 500, 428, 997, 838 i.e 1 in different methods as follows.
Given Input numbers are 500, 428, 997, 838
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
GCD of numbers is the greatest common divisor
So, the GCD (500, 428, 997, 838) = 1.
Given numbers are 500, 428, 997, 838
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 428 are 2 x 2 x 107
Prime factors of 997 are 997
Prime factors of 838 are 2 x 419
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 428, 997, 838
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 428) = 53500
GCD(500, 428) = ( 500 x 428 ) / 53500
= 500 / 428
= 500
Step2:
LCM(4, 997) = 3988
GCD(4, 997) = ( 4 x 997 ) / 3988
= 4 / 997
= 4
Step3:
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
= 1 / 838
= 1
So, Greatest Common Divisor of 500, 428, 997, 838 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 428, 997, 838
The greatest common divisor of numbers 500, 428, 997, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 428, 997, 838 is 1.
1. What is the GCD of 500, 428, 997, 838?
GCD of given numbers 500, 428, 997, 838 is 1
2. How to calculate the greatest common divisor of 500, 428, 997, 838?
We can find the highest common divisor of 500, 428, 997, 838 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 500, 428, 997, 838 i.e 1.
3. How can I use the GCD of 500, 428, 997, 838Calculator?
Out the numbers 500, 428, 997, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.